Estimation of parameters of the Makeham distribution using the least squares method

Authors:
Xinlong Feng;Guoliang He; Abdurishit
Affiliations:
College of Mathematics and System Science, Xinjiang University, Urmuqi 830046, PR China and Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China;Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China;College of Mathematics and System Science, Xinjiang University, Urmuqi 830046, PR China
Venue:
Mathematics and Computers in Simulation
Year:
2008

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Abstract

The Makeham distribution has been used to describe human mortality and establish actuarial tables. The hazard function is defined by @m(t)=A+BC^t, we use the least squares type estimation to estimate the parameters of Makeham distribution in this paper. Seven cases are considered, when A, B, C are known or unknown, respectively. Also, we evaluated the mean square errors of these estimators.